Least Common Multiple of 384 and 387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 384 and 387 the smallest integer that is 49536 that is divisible by both numbers.

Least Common Multiple (LCM) of 384 and 387 is 49536.

LCM(384,387) = 49536

LCM of 384 and 387

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 384 and 387

LCM of 384 and 387 is 49536

Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 387. First we will calculate the prime factors of 384 and 387.

Prime Factorization of 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

Prime Factorization of 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 384 and 387.

LCM(384,387) = 27×32×431
LCM(384,387) = 49536

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Least Common Multiple of 384 and 387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 384 and 387, than apply into the LCM equation.

GCF(384,387) = 3
LCM(384,387) = ( 384 × 387) / 3
LCM(384,387) = 148608 / 3
LCM(384,387) = 49536

Properties of LCM 384 and 387

(i) The LCM of 387 and 384 is associative

LCM of 384 and 387 = LCM of 387 and 384

Related Least Common Multiples of 384

Related Least Common Multiples of 387

Frequently Asked Questions on LCM of 384 and 387

1. What is the LCM of 384 and 387?

Answer: LCM of 384 and 387 is 49536.

2. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

3. What are the Factors of 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

4. How to Find the LCM of 384 and 387?

Answer:

Least Common Multiple of 384 and 387 = 49536

Step 1: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 387

387 = 3 x 3 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 49536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 43

Step 4: Therefore, the least common multiple of 384 and 387 is 49536.